In a beauty contest, half the number of experts voted for Mr. A and two thirds voted for Mr. B. 10 voted for both and 6 did not vote for either. How many experts were there in all ?
A. | 18 |
B. | 36 |
C. | 24 |
D. | None of these |
Option: C Explanation : |
Let n(A) denotes the number of elements in set A. If n(A) =p and n(B) = q, then how many ordered pairs (a, b) are there with a ∈ A and b ∈ B ?
A. | p^{2} |
B. | p x q |
C. | p + q |
D. | 2 pq |
Option: B Explanation : |
The set of all Equivalence classes of a set A of cardinality C
A. | has the same cardinality as A |
B. | forms a partition of A |
C. | is of cardinality 2C |
D. | is of cardinality C^{2} |
Option: B Explanation : |